EduSahara™ Assignment
Name : Polynomial Concepts
Chapter : Polynomials
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Which of the following are polynomials?
a)
    • (
      x
      +
      y
      )
b)
    • x
      +
      1

      x
c)
    • x
      2
       
d)
    • x
      2
       
      +
      1

      x
      2
       
e)
    • (
      x
      +
      y
      )

      (
      x
      y
      )
  • (i)
    {d,c}
  • (ii)
    {e,b,a}
  • (iii)
    {d,c,a}
  • (iv)
    {b,a}
  • (v)
    {a,c}
Question 2
2.
Which of the following are not polynomials?
a)
    • x
      +
      1

      x
b)
    • (
      7
      x
      +
      5
      y
      )
c)
    • (
      77
      x
      2
       
      +
      27
      x
      y
      20
      y
      2
       
      )
d)
    • 4
      x
      2
       
e)
    • (
      7
      x
      +
      5
      y
      )

      (
      11
      x
      4
      y
      )
  • (i)
    {a,e}
  • (ii)
    {b,a}
  • (iii)
    {c,e}
  • (iv)
    {c,e,a}
  • (v)
    {d,b,a}
Question 3
3.
Which of the following are not polynomials?
a)
    • 64
      x
      2
       
b)
    • 64
      x
      2
       
      +
      1

      64
      x
      2
       
c)
    • √x
d)
    • (
      11
      x
      2
      y
      )
e)
    • (
      8
      x
      +
      8
      y
      )
  • (i)
    {d,c,b}
  • (ii)
    {d,c}
  • (iii)
    {b,c}
  • (iv)
    {a,b}
  • (v)
    {e,a,b}
Question 4
4.
Which of the following are not polynomials?
a)
    • (
      20
      x
      2
       
      +
      22
      x
      y
      16
      y
      2
       
      )
b)
    • (
      5
      x
      +
      8
      y
      )

      (
      4
      x
      2
      y
      )
c)
    • (
      4
      x
      2
      y
      )
d)
    • √x
e)
    • 121
      x
      2
       
  • (i)
    {a,b}
  • (ii)
    {e,a,b}
  • (iii)
    {c,d}
  • (iv)
    {c,d,b}
  • (v)
    {b,d}
Question 5
5.
    • The degree of the polynomial
    • (
      3
      d
      +
      3
      )
    • is
  • (i)
    3
  • (ii)
    2
  • (iii)
    (-2)
  • (iv)
    1
  • (v)
    0
Question 6
6.
    • The degree of the polynomial
    • (
      7
      v
      2
       
      +
      9
      v
      3
      )
    • is
  • (i)
    1
  • (ii)
    4
  • (iii)
    3
  • (iv)
    (-1)
  • (v)
    2
Question 7
7.
    • The degree of the polynomial
    • (
      7
      n
      3
       
      +
      9
      n
      7
      )
    • is
  • (i)
    0
  • (ii)
    6
  • (iii)
    2
  • (iv)
    4
  • (v)
    3
Question 8
8.
    • The degree of the polynomial
    • (
      9
      m
      5
       
      +
      6
      m
      4
       
      +
      3
      m
      3
       
      +
      2
      m
      6
      )
    • is
  • (i)
    4
  • (ii)
    6
  • (iii)
    8
  • (iv)
    2
  • (v)
    5
Question 9
9.
    • The constant term in polynomial
    • (
      7
      j
      4
      )
    • is
  • (i)
    -3
  • (ii)
    -2
  • (iii)
    -5
  • (iv)
    -7
  • (v)
    -4
Question 10
10.
    • The constant term in polynomial
    • (
      5
      w
      2
       
      +
      6
      w
      +
      3
      )
    • is
  • (i)
    4
  • (ii)
    3
  • (iii)
    1
  • (iv)
    2
  • (v)
    6
Question 11
11.
    • The coefficient of term
    • y
      2
       
    • in polynomial
    • (
      7
      y
      3
       
      4
      y
      2
       
      5
      y
      6
      )
    • is
  • (i)
    -5
  • (ii)
    -7
  • (iii)
    -3
  • (iv)
    -1
  • (v)
    -4
Question 12
12.
    • The constant term in polynomial
    • (
      3
      z
      4
       
      7
      z
      3
       
      2
      z
      2
       
      +
      9
      z
      +
      1
      )
    • is
  • (i)
    2
  • (ii)
    3
  • (iii)
    -2
  • (iv)
    1
  • (v)
    0
Question 13
13.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    p
    2
     
    +
    p
    +
    4
    )
  • (ii)
    (
    8
    p
    3
     
    9
    )
  • (iii)
    (
    8
    p
    4
     
    +
    7
    p
    3
     
    9
    p
    2
     
    3
    p
    3
    )
  • (iv)
    6
    p
    4
     
  • (v)
    (
    9
    p
    4
     
    +
    p
    3
     
    +
    p
    2
     
    p
    +
    7
    )
Question 14
14.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    3
    q
    4
     
    +
    9
    q
    3
     
    +
    2
    q
    2
     
    +
    2
    q
    9
    )
  • (ii)
    (
    6
    q
    4
     
    5
    q
    )
  • (iii)
    3
    q
    3
     
  • (iv)
    (
    5
    q
    4
     
    5
    q
    7
    )
  • (v)
    (
    3
    q
    4
     
    +
    q
    3
     
    +
    9
    q
    2
     
    8
    q
    +
    8
    )
Question 15
15.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    4
    f
    4
     
    6
    f
    )
  • (ii)
    (
    9
    f
    4
     
    )
  • (iii)
    (
    7
    f
    4
     
    +
    6
    f
    3
     
    1
    )
  • (iv)
    (
    2
    f
    4
     
    6
    f
    3
     
    +
    6
    f
    2
     
    +
    3
    f
    +
    8
    )
  • (v)
    (
    8
    f
    4
     
    3
    f
    3
     
    f
    2
     
    +
    7
    f
    +
    2
    )
Question 16
16.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    8
    f
    3
     
    +
    8
    f
    +
    5
    )
  • (ii)
    (
    f
    +
    7
    )
  • (iii)
    (
    f
    2
     
    )
  • (iv)
    (
    2
    )
  • (v)
    (
    6
    f
    4
     
    +
    8
    f
    3
     
    5
    f
    2
     
    +
    2
    f
    +
    5
    )
Question 17
17.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    4
    v
    2
     
    )
  • (ii)
    (
    3
    v
    4
     
    +
    5
    )
  • (iii)
    (
    5
    v
    4
     
    +
    5
    v
    3
     
    7
    v
    2
     
    +
    6
    v
    6
    )
  • (iv)
    0
  • (v)
    (
    v
    2
     
    +
    6
    v
    2
    )
Question 18
18.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    (
    7
    u
    3
     
    3
    u
    2
     
    6
    u
    +
    3
    )
  • (ii)
    (
    2
    u
    5
     
    u
    3
     
    +
    2
    u
    2
     
    +
    9
    u
    1
    )
  • (iii)
    7
  • (iv)
    (
    5
    u
    2
     
    6
    u
    5
    )
  • (v)
    (
    6
    u
    +
    4
    )
Question 19
19.
Which of the following algebraic expressions is a linear polynomial?
  • (i)
    (
    b
    5
     
    4
    b
    4
     
    9
    b
    2
     
    +
    5
    b
    +
    3
    )
  • (ii)
    (
    7
    )
  • (iii)
    (
    7
    b
    2
     
    b
    1
    )
  • (iv)
    (
    9
    b
    6
    )
  • (v)
    (
    3
    b
    3
     
    +
    6
    b
    2
     
    8
    b
    +
    4
    )
Question 20
20.
Which of the following algebraic expressions is a quadratic polynomial?
  • (i)
    (
    7
    v
    5
     
    7
    v
    3
     
    +
    9
    v
    2
     
    +
    9
    v
    +
    6
    )
  • (ii)
    (
    9
    v
    3
     
    +
    8
    v
    2
     
    +
    5
    v
    +
    4
    )
  • (iii)
    (
    2
    v
    2
     
    4
    v
    9
    )
  • (iv)
    (
    6
    v
    8
    )
  • (v)
    (
    9
    )
Question 21
21.
Which of the following algebraic expressions is a cubic polynomial?
  • (i)
    (
    5
    )
  • (ii)
    (
    7
    e
    5
     
    2
    e
    3
     
    +
    3
    e
    2
     
    3
    e
    5
    )
  • (iii)
    (
    e
    2
     
    8
    e
    8
    )
  • (iv)
    (
    6
    e
    +
    7
    )
  • (v)
    (
    8
    e
    3
     
    8
    e
    2
     
    +
    2
    e
    +
    2
    )
Question 22
22.
    • The degree of polynomial
    • (
      14
      c
      d
      +
      2
      c
      +
      7
      d
      9
      )
    • is
  • (i)
    (-1)
  • (ii)
    1
  • (iii)
    2
  • (iv)
    3
  • (v)
    4
Question 23
23.
    • The degree of polynomial
    • (
      4
      m
      2
       
      n
      2
       
      8
      m
      2
       
      n
      +
      5
      n
      +
      5
      )
    • is
  • (i)
    4
  • (ii)
    2
  • (iii)
    3
  • (iv)
    7
  • (v)
    5
Question 24
24.
    • The degree of polynomial
    • (
      7
      m
      2
       
      n
      2
       
      o
      3
      m
      2
       
      o
      2
       
      +
      m
      n
      5
      m
      o
      2
       
      +
      3
      o
      )
    • is
  • (i)
    6
  • (ii)
    2
  • (iii)
    5
  • (iv)
    4
  • (v)
    8
Question 25
25.
    • The degree of polynomial
    • (
      3
      v
      3
       
      w
      3
       
      +
      6
      v
      3
       
      w
      2
       
      x
      2
       
      v
      3
       
      w
      x
      3
       
      +
      9
      v
      2
       
      w
      2
       
      x
      3
       
      +
      7
      v
      2
       
      w
      +
      8
      v
      w
      3
       
      x
      3
      v
      x
      2
       
      )
    • is
  • (i)
    9
  • (ii)
    7
  • (iii)
    8
  • (iv)
    6
  • (v)
    4
Question 26
26.
    • The coefficient of term
    • d
    • in polynomial
    • (
      17
      c
      d
      7
      c
      2
      d
      +
      3
      )
    • is
  • (i)
    -4
  • (ii)
    -3
  • (iii)
    -1
  • (iv)
    0
  • (v)
    -2
Question 27
27.
    • The coefficient of term
    • d
      2
       
    • in polynomial
    • (
      3
      c
      2
       
      d
      2
       
      +
      3
      c
      d
      2
       
      3
      c
      d
      +
      4
      d
      2
       
      )
    • is
  • (i)
    3
  • (ii)
    4
  • (iii)
    7
  • (iv)
    1
  • (v)
    5
Question 28
28.
    • The coefficient of term
    • q
      r
      s
    • in polynomial
    • (
      q
      r
      2
       
      s
      +
      9
      q
      r
      s
      +
      5
      q
      s
      +
      6
      r
      2
       
      s
      2
      r
      2
       
      )
    • is
  • (i)
    9
  • (ii)
    11
  • (iii)
    8
  • (iv)
    7
  • (v)
    10
Question 29
29.
    • The coefficient of term
    • j
      k
      2
       
      l
      2
       
    • in polynomial
    • (
      8
      j
      3
       
      k
      2
       
      l
      3
       
      8
      j
      2
       
      k
      3
       
      l
      3
       
      +
      9
      j
      2
       
      k
      3
       
      l
      5
      j
      2
       
      k
      2
       
      l
      3
       
      j
      k
      2
       
      l
      3
       
      +
      7
      j
      k
      2
       
      l
      2
       
      8
      k
      2
       
      l
      )
    • is
  • (i)
    6
  • (ii)
    4
  • (iii)
    7
  • (iv)
    10
  • (v)
    8
Question 30
30.
Which of the following algebraic expressions is a monomial?
  • (i)
    (
    e
    3
     
    f
    2
     
    5
    e
    3
     
    +
    6
    e
    2
     
    f
    2
     
    )
  • (ii)
    (
    e
    3
     
    2
    e
    2
     
    g
    3
     
    9
    e
    f
    3
     
    g
    8
    f
    g
    2
     
    )
  • (iii)
    (
    2
    e
    2
     
    f
    2
     
    g
    2
     
    4
    e
    2
     
    9
    e
    g
    3
     
    +
    6
    f
    g
    2
     
    )
  • (iv)
    2
    e
    3
     
    f
    3
     
    g
    2
     
  • (v)
    (
    3
    e
    f
    +
    g
    3
     
    )
Question 31
31.
Which of the following algebraic expressions is a binomial?
  • (i)
    (
    7
    i
    3
     
    j
    3
     
    5
    i
    2
     
    j
    2
     
    k
    3
     
    2
    k
    3
     
    )
  • (ii)
    (
    8
    i
    3
     
    k
    +
    5
    i
    2
     
    j
    2
     
    k
    2
     
    +
    7
    i
    j
    3
     
    k
    8
    j
    k
    2
     
    )
  • (iii)
    7
    i
    3
     
    j
    k
    2
     
  • (iv)
    (
    2
    i
    3
     
    j
    2
     
    k
    3
     
    +
    5
    i
    2
     
    j
    3
     
    k
    2
     
    +
    4
    i
    k
    3
     
    4
    j
    2
     
    k
    3
     
    )
  • (v)
    (
    5
    i
    3
     
    j
    4
    i
    3
     
    k
    )
Question 32
32.
Which of the following algebraic expressions is a trinomial?
  • (i)
    (
    7
    x
    3
     
    y
    3
     
    z
    9
    x
    3
     
    y
    z
    3
     
    +
    x
    3
     
    z
    )
  • (ii)
    (
    5
    x
    2
     
    z
    2
     
    2
    x
    2
     
    z
    )
  • (iii)
    (
    7
    x
    3
     
    z
    4
    x
    2
     
    y
    2
    x
    2
     
    z
    7
    y
    3
     
    z
    3
     
    )
  • (iv)
    9
    x
    3
     
    y
    2
     
    z
  • (v)
    (
    4
    x
    3
     
    y
    2
     
    z
    +
    7
    x
    3
     
    y
    z
    3
    x
    y
    2
     
    z
    2
     
    x
    z
    3
     
    )
Question 33
33.
Which of the following algebraic expressions is a constant polynomial?
  • (i)
    3
    w
    x
    2
     
    y
  • (ii)
    (
    7
    w
    x
    y
    2
     
    3
    x
    3
     
    y
    +
    5
    x
    2
     
    y
    3
     
    +
    x
    y
    )
  • (iii)
    (
    5
    w
    3
     
    8
    w
    2
     
    x
    y
    2
     
    +
    8
    w
    x
    3
     
    y
    2
     
    )
  • (iv)
    (
    9
    w
    3
     
    +
    w
    2
     
    x
    3
     
    y
    )
  • (v)
    (
    2
    )
Question 34
34.
Which of the following algebraic expressions is a zero polynomial?
  • (i)
    (
    8
    h
    3
     
    j
    2
     
    +
    9
    h
    i
    j
    2
     
    )
  • (ii)
    (
    3
    h
    3
     
    i
    j
    +
    6
    h
    2
     
    i
    2
     
    j
    8
    h
    2
     
    j
    )
  • (iii)
    (
    4
    h
    3
     
    i
    3
     
    j
    )
  • (iv)
    (
    7
    h
    3
     
    i
    2
     
    j
    +
    5
    h
    i
    3
     
    j
    3
     
    7
    h
    i
    j
    3
     
    2
    j
    )
  • (v)
    0
    Assignment Key

  •  1) (v)
  •  2) (i)
  •  3) (iii)
  •  4) (v)
  •  5) (iv)
  •  6) (v)
  •  7) (v)
  •  8) (v)
  •  9) (v)
  •  10) (ii)
  •  11) (v)
  •  12) (iv)
  •  13) (iv)
  •  14) (ii)
  •  15) (iii)
  •  16) (iv)
  •  17) (iv)
  •  18) (iii)
  •  19) (iv)
  •  20) (iii)
  •  21) (v)
  •  22) (iii)
  •  23) (i)
  •  24) (iii)
  •  25) (ii)
  •  26) (v)
  •  27) (ii)
  •  28) (i)
  •  29) (iii)
  •  30) (iv)
  •  31) (v)
  •  32) (i)
  •  33) (v)
  •  34) (v)